Question

The solution to the system of equation below is (−2, −1).

2x − 3y = −1
11x − 9y = −13

When the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10.

Which system of equations will also have a solution of (−2, −1)?


5x = −10
11x − 9y = −13


2x + 9y = −1
11x − 9y = −13


−6x + 9y = −1
11x − 9y = −13


−6x + 3y = −1
5x = −10

Answer 1

5x = −10 and 11x − 9y = −13

Reason: 5x = −10 gives x = −2. Substituting x = −2 into 11x − 9y = −13 gives −22 − 9y = −13, so −9y = 9 and y = −1. Thus (−2, −1) satisfies this system.